The Ground State Energy and density of Interacting Bosons in a Trap
Mathematical Physics
2007-05-23 v1 Condensed Matter
math.MP
Abstract
In the theoretical description of recent experiments with dilute Bose gases confined in external potentials the Gross-Pitaevskii equation plays an important role. Its status as an approximation for the quantum mechanical many-body ground state problem has recently been rigorously clarified. A summary of this work is presented here.
Keywords
Cite
@article{arxiv.math-ph/9911026,
title = {The Ground State Energy and density of Interacting Bosons in a Trap},
author = {Elliott H. Lieb and Robert Seiringer and Jakob Yngvason},
journal= {arXiv preprint arXiv:math-ph/9911026},
year = {2007}
}
Comments
For the Proceedings of `Quantum Theory and Symmetries' (Goslar, 18-22 July 1999) (World Scientific, 2000), edited by H.-D. Doebner, V.K. Dobrev, J.-D. Hennig and W. Luecke